ASVAB Math Knowledge Practice Test 821603 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

Solve for a:
3a - 5 < \( \frac{a}{-1} \)

44% Answer Correctly
a < -\(\frac{20}{39}\)
a < -\(\frac{5}{7}\)
a < 1\(\frac{1}{4}\)
a < \(\frac{9}{16}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

3a - 5 < \( \frac{a}{-1} \)
-1 x (3a - 5) < a
(-1 x 3a) + (-1 x -5) < a
-3a + 5 < a
-3a + 5 - a < 0
-3a - a < -5
-4a < -5
a < \( \frac{-5}{-4} \)
a < 1\(\frac{1}{4}\)


2

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

equal angle

equal length

parallel


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

Solve for b:
b2 - 45 = 3b - 5

48% Answer Correctly
7 or 7
-7 or -7
2 or -2
-5 or 8

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

b2 - 45 = 3b - 5
b2 - 45 + 5 = 3b
b2 - 3b - 40 = 0
b2 - 3b - 40 = 0

Next, factor the quadratic equation:

b2 - 3b - 40 = 0
(b + 5)(b - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 5) or (b - 8) must equal zero:

If (b + 5) = 0, b must equal -5
If (b - 8) = 0, b must equal 8

So the solution is that b = -5 or 8


4

Order the following types of angle from least number of degrees to most number of degrees.

75% Answer Correctly

right, acute, obtuse

acute, right, obtuse

acute, obtuse, right

right, obtuse, acute


Solution

An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.


5

Which of the following statements about a parallelogram is not true?

49% Answer Correctly

the area of a parallelogram is base x height

the perimeter of a parallelogram is the sum of the lengths of all sides

a parallelogram is a quadrilateral

opposite sides and adjacent angles are equal


Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).